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Fundamentals of Digital Signal Processing

Main Lobe Peak: Width and Zero Crossings

Derive the main properties of the spectrum in a rectangular signal.

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The DFT of a rectangular signal x[n]x[n] is found to be a sinc signal.

X[k]=sin⁡(πkNL)πkNX[k]=\frac{\sin\left( \pi\frac{k}{N}L\right)}{\pi\frac{k}{N}}

This sinc signal has a ...